3355927898400 has 864 divisors, whose sum is σ = 14776154265600. Its totient is φ = 696283084800.

The previous prime is 3355927898383. The next prime is 3355927898423. The reversal of 3355927898400 is 48987295533.

3355927898400 is a `hidden beast` number, since 3 + 3 + 55 + 92 + 7 + 8 + 98 + 400 = 666.

It is a super-2 number, since 2×3355927898400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 398609391 + ... + 398617809.

It is an arithmetic number, because the mean of its divisors is an integer number (17102030400).

Almost surely, 2^{3355927898400} is an apocalyptic number.

3355927898400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3355927898400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7388077132800).

3355927898400 is an abundant number, since it is smaller than the sum of its proper divisors (11420226367200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3355927898400 is a wasteful number, since it uses less digits than its factorization.

3355927898400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9182 (or 9166 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 3355927898400 in words is "three trillion, three hundred fifty-five billion, nine hundred twenty-seven million, eight hundred ninety-eight thousand, four hundred".